Small strong solutions for time-dependent mean field games with local coupling

DOI10.1016/j.crma.2016.02.006zbMath1338.91027OpenAlexW2310079165MaRDI QIDQ282856

David M. Ambrose

Publication date: 12 May 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.02.006

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Nonlinear parabolic equations (35K55) (n)-person games, (n>2) (91A06) Stochastic games, stochastic differential games (91A15) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

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Existence theory for non-separable mean field games in Sobolev spaces ⋮ Time-dependent focusing mean-field games: the sub-critical case ⋮ Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction ⋮ Strong solutions for time-dependent mean field games with non-separable Hamiltonians ⋮ The radius of analyticity for solutions to a problem in epitaxial growth on the torus ⋮ Existence theory for a time-dependent mean field games model of household wealth ⋮ Stable manifolds to bounded solutions in possibly ill-posed PDEs ⋮ Short time solution to the master equation of a first order mean field game ⋮ Global solutions and ill-posedness for the Kaup system and related Boussinesq systems ⋮ Global existence and analyticity for the 2D Kuramoto-Sivashinsky equation

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